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24. A concave mirror produces three times enlarged virtual image of an object placed at 10 cm in front of it., At what distance from the mirror should a screen be placed to get the sharp image ? Also calculate the size, 23. An object of 5.0 cm size is placed at a distance of 20.0 cm from a converging mirror of focal length 15.0 cm., 22. A large concave mirror has a radius of curvature of 1.5 m. A person stands 10 m in front of the mirror., 21. A dentist's mirror has a radius of curvature of 3 cm. How far must it be placed from a small dental cavity to, 20. When an object is placed 20 cm from a concave mirror, a real image magnified three times is formed. Find :, (b) Where must the object be placed to give a virtual image three times the height of the object ?, 19. A concave mirror has a focal length of 4 cm and an object 2 cm tall is placed 9 cm away from it. Find the, 18. An object 3 cm high is placed at a distance of 10 cm in front of a converging mirror of focal length 20 cm., 199, Find the position, nature and size of the image formed., nature, position and size of the image formed., (a) the focal length of the mirror., give a virtual image of the cavity that is magnified five times ?, meave, Where is the person's image ?, of the image., Calculate the radius of curvature of the mirror., 25.A Bignt object 50 mm high stands on the axis of a concave mirror of focal length 100 mm and at a distance, of 300 mm from the concave mirror. How big will the image be ?, 26. How far should an object be placed from the pole of a converging mirror of focal length 20 cm to form a rear, image of the size exactly, th the size of the object ?, 4, 27. When an object is placed at a distance of 50 cm from a concave spheriçal mirror, the magnification produced, 1, Where should the object be placed to get a magnification of,, is,, 2, 5, in front of a concave mirror of focal length 12 cm. Find the nature and, 28. An object is placed (a) 20 cm, (b) 4 cm,, position of the image formed in each case., 29. A concave mirror produces a real image 1 cm tall of an object 2.5 mm tall placed 5 cm from the mirror. Find, the position of the image and the focal length of the mirror., 30. A man holds a spherical shaving mirror of radius of curvature 60 cm, and focal length 30 cm, at a distance, of 15 cm, from his nose. Find the position of image, and calculate the magnification.

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ANSWERS, 1. 2 m, 6. Magnification, 9. Real and inverted 10. (a) virtual ; erect (b) real ; inverted 11. (b) 20 cm (c) Virtual and erect, Magnified 12. v = -18 cm; The position of image is 18 cm in front of concave mirror (to its left side); Real, and inverted ;5 cm 13. u = - 6.66 cm ; The object should be placed at a distance of 6.66 cm on the left side, of concave mirror 14. 6 cm 15. (1) 24 cm (ii) 12 cm behind the concave mirror (on its right side) 16. (i) 80, 17. v = - 54 cm ; The screen should be placed at a distance of 54 cm, 18. v = +20 cm; The image is formed at a, distance of 20 cm behind the converging mirror; Virtual and erect ; 6 cm 19. Real and inverted ; v = - 7.2, cm : The image is formed at a distance of 7.2 cm in front of concave mirror ; 1.6 cm 20. (a) 15 cm (b) 10 cm, 21. 1.2 cm 22. 0.81 m in front of the concave mirror 23. 60 cm in front of the, 28. (a) v = -30 cm ; The, 2. At infinity, 3. (a) Virtual and erect (b) Real and inverted, cm in front of the mirror (ii) 16 cm, in front of the concave mirror ; 14.0 cm; Real and inverted, from the concave mirror;, 26. 100 cm, 27. 100 cm, converging mirror ; 15.0 cm 24. 30 cm, image is formed at a distance of 30 cm in front of mirror (on its left side); Real and inverted (b) v = +6 cm;, The image is formed at a distance of 6 cm behind the mirror (on its right side); Virtual and erect, 29. v = -20 cm ; The image is formed 20 cm in front of the mirror ; 4 cm, formed at a distance of 30 cm behind the mirror ; m = + 2 31. (c) 9.6 cm; 19.2 cm ; 0.66 32. (c) 33. (b), 34. (d) 35. (b) 36. (c) 37. (b) 38. (d) 39. (a) 40. (b) 41. (b) 42. (a) Between focus and centre of curvature, 25. 25 mm, 30. v = + 30 cm ; The image is, %3D, 20., 44. 15 cm;, (b) Between pole and focus (c) Beyond the centre of curvature 43. (a) 20 cm, (9), 5 cm, 45. (a) 10 cm from the object (b) 40 cm (c) Concave mirror

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hort Answer Type Questions, 1. An object is kept at a distance of 5 cm in front of a convex mirror of focal length 10 cm. Calculate the, position and magnification of the image and state its nature., 2. An object is placed at a distance of 10 cm from a convex mirror of focal length 5 cm., (1) Draw a ray-diagram showing the formation of image., (ii) State two characteristics of the image formed., (ii) Calculate the distance of the image from mirror., 3. An object is placed at a distance of 6 cm from a convex mirror of focal length 12 cm. Find the position and, nature of the image., 4. An object placed 20 cm in front of a mirror is found to have an image 15 cm (a) in front of it, (b) behind the, mirror. Find the focal length of the mirror and the kind of mirror in each case., 5. An arrow 2.5 cm high is placed at a distance of 25 cm from a diverging mirror of focal length 20 cm. Find, the nature, position and size of the image formed., 6. A convex mirror used as a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a, distance of 5 m from this mirror, find the position of image. What is the nature of the image ?, 7. A diverging mirror of radius of curvature 40 cm forms an image which is half the height of the object. Find, the object and image positions., 8. The radius of curvature of a convex mirror used as a rear view mirror in a moving car is 2.0 m. A truck is, coming from behind it at a distance of 3.5 m. Calculate (a) position, and (b) size, of the image relative to the, size of the truck. What will be the nature of the image ?

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ANSWERS, 1. 3.3 cm behind the convex mirror ; 0.66; Virtual and erect 2. (ii) Virtual and erect ; Diminished (Smaller, than the object) (iii) 3.3 cm behind the convex mirror 3. 4 cm behind the mirror ; Virtual and erect, 60, 4. (a) Concave mirror of focal length cm (b) Convex mirror of focal length 60 cm 5. v = 11.1 cm; The, image is formed 11.1 cm behind the convex mirror; Virtual and erect; 1.1 cm tall, mirror ; Virtual and erect, 6. 1.15 m behind the, 8. (a) 0.77 m behind the mirror, 7. 20 cm ; 10 cm behind the mirror, 1., (b), ; Virtual and erect, 9. 0.4 cm; 12 cm behind the mirror, 10, 10. (a) Convex mirror (b), 4.5, 11. (a) v = -30 cm; The image is formed 30 cm in front of converging mirror; m = -2 (b) v = + 6 cm; The, image is formed 6 cm behind the diverging mirror ; m = + 0.4, 12. m = + 0.75; Convex mirror